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Finding the Third Proportional to 1,748,510 and 3,762,741

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Solution

The third proportional to 1,748,510 and 3,762,741 is: 8,097,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,510 : 3,762,741 = 3,762,741 : x
  2. Step 2: Convert to fraction form
    1,748,510/3,762,741 = 3,762,741/x
  3. Step 3: Cross multiply
    1,748,510x = 3,762,741 × 3,762,741
  4. Step 4: Simplify right side
    1,748,510x = 14,158,219,833,081
  5. Step 5: Solve for x
    x = 14,158,219,833,081/1,748,510
  6. Step 6: Final answer
    x = 8,097,305.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.